A Development of the Lunar and Solar Disturbing Functions for a Close Satellite
National Aeronautics and Space Administration, 1962 - Artificial satellites - 11 pages
Mathematical developments of the gravitational effects of the sun and moon on a close satellite were made. The developments were made as a result of attempts to adapt to a form convenient in analyzing close satellite orbits for terrestrial gravitational field variations. The disturbing functions are expressed in osculating Keplerian elements for use in equations of motion. (Author).
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apply to Equation Artificial Satellite axis pointed body with respect CLOSE SATELLITE computer storage space defined by Equation DEVELOPMENT disturbing body eccentricity DO-loops eccentricity polynomial eccentricity subscript ecliptic Effect of Solar entry point Equation 11 equations of motion exit point Fnmp(i Gnhj(e GRAVITATIONAL DISTURBING FUNCTION gravitational field Hansen's function harmonic analysis inclination subscript integrating with respect Kaula Goddard Space Keplerian elements Kozai Legendre polynomial long period terms LUNAR AND SOLAR m(fi mean anomaly motion Reference Musen n r*n+l NASA Technical Note number of terms odd n-m orbital elements Pn(S Pnm(sin position vector qua si-potential quartic right ascension SATELLITE by William satellite eccentricity semi-major axis shadow effect short period terms sin2 Smithsonian Inst Snmpq SOLAR DISTURBING FUNCTIONS solar perturbations Solar Radiation Pressure spherical harmonic subroutines subscripts n,m,p,h,j terms of index terrestrial gravitational effects Tnmphj true anomaly true longitude variations wave number